Search a number
-
+
130345152021 = 3371936297731
BaseRepresentation
bin111100101100100101…
…1010010111000010101
3110110102222101210012000
41321121023102320111
54113421324331041
6135514004545513
712263034340320
oct1713113227025
9413388353160
10130345152021
1150308492a37
12213183b2299
13c3a35511b6
1464472737b7
1535cd2e0bb6
hex1e592d2e15

130345152021 has 32 divisors (see below), whose sum is σ = 232305484800. Its totient is φ = 70562787120.

The previous prime is 130345151999. The next prime is 130345152127. The reversal of 130345152021 is 120251543031.

130345152021 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 451 + 5 + 202 + 1 = 666.

It is not a de Polignac number, because 130345152021 - 29 = 130345151509 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130345150021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18145275 + ... + 18152456.

It is an arithmetic number, because the mean of its divisors is an integer number (7259546400).

Almost surely, 2130345152021 is an apocalyptic number.

It is an amenable number.

130345152021 is a deficient number, since it is larger than the sum of its proper divisors (101960332779).

130345152021 is a wasteful number, since it uses less digits than its factorization.

130345152021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36297766 (or 36297760 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 130345152021 its reverse (120251543031), we get a palindrome (250596695052).

The spelling of 130345152021 in words is "one hundred thirty billion, three hundred forty-five million, one hundred fifty-two thousand, twenty-one".

Divisors: 1 3 7 9 19 21 27 57 63 133 171 189 399 513 1197 3591 36297731 108893193 254084117 326679579 689656889 762252351 980038737 2068970667 2286757053 4827598223 6206912001 6860271159 14482794669 18620736003 43448384007 130345152021